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Finding the Third Proportional to 331,644 and 725,496

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Solution

The third proportional to 331,644 and 725,496 is: 1,587,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,644 : 725,496 = 725,496 : x
  2. Step 2: Convert to fraction form
    331,644/725,496 = 725,496/x
  3. Step 3: Cross multiply
    331,644x = 725,496 × 725,496
  4. Step 4: Simplify right side
    331,644x = 526,344,446,016
  5. Step 5: Solve for x
    x = 526,344,446,016/331,644
  6. Step 6: Final answer
    x = 1,587,076.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.